Question

*If p/q = 2/7 then 2p/3q = ?*

1️⃣ 4/6
2️⃣ 21/14
3️⃣ 6/4
4️⃣ 4/21​

Answer 1

Given :- If p/q = 2/7 then 2p/3q = ?

1) 4/6

2) 21/14

3) 6/4

4) 4/21

Answer :-

we have,

→ p/q = 2/7

→ p : q = 2 : 7

Let us assume that, p = 2x and q = 7x .

putting both values now we get,

→ 2p / 3q

→ 2*2x / 3*7x

→ 4x / 21x

→ (4/21) (4) (Ans.)

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If $\displaystyle \sf{ \frac{p}{q} = \frac{2}{7} }$ then

$\displaystyle \sf{ \frac{2p}{3q} }$

$\displaystyle \sf{1. \: \: \: \frac{4}{6} }$

$\displaystyle \sf{2. \: \: \: \frac{21}{14} }$

$\displaystyle \sf{3. \: \: \: \frac{6}{4} }$

$\displaystyle \sf{4. \: \: \: \frac{4}{21} }$

EVALUATION

We have given that

$\displaystyle \sf{ \frac{p}{q} = \frac{2}{7} }$

Now

$\displaystyle \sf{ \frac{2p}{3q} }$

$\displaystyle \sf{ = \frac{2 \times p}{3 \times q} }$

$\displaystyle \sf{ = \frac{2}{3} \times \frac{p}{q} }$

$\displaystyle \sf{ = \frac{2}{3} \times \frac{2}{7} }$

$\displaystyle \sf{ = \frac{4}{21} }$

FINAL ANSWER

Hence the correct option is

$\displaystyle \sf{4. \: \: \: \frac{4}{21} }$

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